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In this paper we define a variant of the Ising model in which spins are replaced with permutations. The energy between two spins is a function of the relative disorder of one spin, a permutation, to the other. This model is motivated by a…

Combinatorics · Mathematics 2023-07-25 Mark Dukes

The exact determination of ground states of small systems is used in a scaling study of the random-field Ising model. While three variants of the model are found to be in the same universality class in 3 dimensions, the Gaussian and bimodal…

Disordered Systems and Neural Networks · Physics 2009-10-30 Michael R. Swift , Alan J. Bray , Amos Maritan , Marek Cieplak , Jayanth R. Banavar

The ferrimagnetic spin-1/2 chain composed of alternating Ising and Heisenberg spins in an arbitrarily oriented magnetic field is exactly solved using the spin-rotation transformation and the transfer-matrix method. It is shown that the…

Statistical Mechanics · Physics 2012-12-27 J. Strecka , M. Hagiwara , Y. Han , T. Kida , Z. Honda , M. Ikeda

We use Monte-Carlo simulations to study aging phenomena and the occurence of spinglass phases in systems of single-domain ferromagnetic nanoparticles under the combined influence of dipolar interaction and anisotropy energy, for different…

Disordered Systems and Neural Networks · Physics 2009-11-13 Stefanie Russ , Armin Bunde

Transfer-matrix methods are used to calculate spin-spin correlation functions ($G$), Helmholtz free energies ($f$) and magnetizations ($m$) in the two-dimensional random-field Ising model close to the zero-field bulk critical temperature…

Statistical Mechanics · Physics 2009-11-07 S. L. A. de Queiroz , R. B. Stinchcombe

We consider a recently introduced generalization of the Ising model in which individual spin strength can vary. The model is intended for analysis of ordering in systems comprising agents which, although matching in their binarity (i.e.,…

Statistical Mechanics · Physics 2021-09-28 Mariana Krasnytska , Bertrand Berche , Yurij Holovatch , Ralph Kenna

In this paper we present and discuss results of Monte Carlo numerical simulations of the two-dimensional Ising ferromagnet in contact with a heat bath that intrinsically has a thermal gradient. The extremes of the magnet are at temperatures…

Statistical Mechanics · Physics 2015-06-11 Juan Muglia , Ezequiel V. Albano

We address the question of weak versus strong universality scenarios for the random-bond Ising model in two dimensions. A finite-size scaling theory is proposed, which explicitly incorporates $\ln L$ corrections ($L$ is the linear finite…

Statistical Mechanics · Physics 2008-02-03 F. D. A. Aarao Reis , S. L. A. de Queiroz , Raimundo R. dos Santos

Spin-orbit torques induced by spin Hall and interfacial effects in heavy metal/ferromagnetic bilayers allow for a switching geometry based on in-plane current injection. Using this geometry, we demonstrate deterministic magnetization…

We study the crossover behaviors that can be observed in the high-temperature phase of three-dimensional dilute spin systems, using a field-theoretical approach. In particular, for randomly dilute Ising systems we consider the…

Statistical Mechanics · Physics 2016-08-31 Pasquale Calabrese , Pietro Parruccini , Andrea Pelissetto , Ettore Vicari

Effective interactions that violate Newton's third law of action-reaction symmetry are common in systems where interactions are mediated by a non-equilibrium environment. Extensive Monte Carlo simulations are carried out on a…

Statistical Mechanics · Physics 2024-03-12 Agney K. Rajeev , A. V. Anil Kumar

The magnetic behavior of a mixed Ising ferrimagnetic system on a square lattice, in which the two interpenetrating square sublattices have spins +- 1/2 and spins +-1,0, in the presence of an oscillating magnetic field has been studied with…

Condensed Matter · Physics 2009-10-31 G. M. Buendia , E. Machado

In the simple [hyper]cubic five dimension near neighbor interaction Ising ferromagnet, extensive simulation measurements are made of the link overlap and the spin overlap distributions. These "two replica" measurements are standard in the…

Statistical Mechanics · Physics 2013-02-06 P. H. Lundow , I. A. Campbell

We perform equilibrium parallel-tempering simulations of the 3D Ising Edwards-Anderson spin glass in a field. A traditional analysis shows no signs of a phase transition. Yet, we encounter dramatic fluctuations in the behaviour of the…

The short-time critical dynamics of propagation of damage in the Ising ferromagnet in two dimensions is studied by means of Monte Carlo simulations. Starting with equilibrium configurations at $T= \infty$ and magnetization $M=0$, an initial…

Statistical Mechanics · Physics 2015-05-18 M. Leticia Rubio Puzzo , Ezequiel V. Albano

Tensor networks are adopted to calculate the responses for one-dimensional quantum spin systems that are initially in thermal equilibrium. The Ising chain in mixed transverse and longitudinal fields is used as the benchmarking system. The…

Statistical Mechanics · Physics 2025-01-06 Jiayin Gu

We used a backtracing code to reconstruct particle trajectory inside the Earth Magnetosphere during the last solar active period (2011 and 2012) when very high Solar Wind pressure values were measured. We compared our results on AMS-02…

Instrumentation and Methods for Astrophysics · Physics 2013-07-22 M. J. Boschini , C. Consolandi , S. Della Torre , M. Gervasi , D. Grandi , S. Haino , G. La Vacca , S. Pensotti , P. G. Rancoita , D. Rozza , M. Tacconi

We report measurements on magnetization reversal in the Fe$_8$ molecular magnet using fast pulsed magnetic fields of 1.5 kT/s and in the temperature range of 0.6-4.1 K. We observe and analyze the temperature dependence of the reversal…

Mesoscale and Nanoscale Physics · Physics 2014-09-11 S. N. Jammalamadaka , J. Vanacken , V. V. Moshchalkov , Saül Vélez , J. Tejada , Ferran Macià

The structure of geomagnetism is very complex, and there are still some problems left in magnetohydrodynamics (MHD) simulations. Recently, the macro spin model has been suggested. This is the idea that geomagnetism is described by…

Earth and Planetary Astrophysics · Physics 2020-06-30 Ariyoshi Kunitomo , Akika Nakamichi , Tetsuya Hara

We present highly accurate Monte Carlo results for simple cubic Ising lattices containing up to $256^3$ spins. These results were obtained by means of the Cluster Processor, a newly built special-purpose computer for the Wolff cluster…

Condensed Matter · Physics 2008-11-26 A. L. Talapov , H. W. J. Blöte
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